106035746432 has 128 divisors (see below), whose sum is σ = 263702476800. Its totient is φ = 41260170240.

The previous prime is 106035746359. The next prime is 106035746437. The reversal of 106035746432 is 234647530601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106035746432² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106035746432.

It is not an unprimeable number, because it can be changed into a prime (106035746437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8262773 + ... + 8275595.

It is an arithmetic number, because the mean of its divisors is an integer number (2060175600).

Almost surely, 2^106035746432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106035746432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131851238400).

106035746432 is an abundant number, since it is smaller than the sum of its proper divisors (157666730368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106035746432 is a wasteful number, since it uses less digits than its factorization.

106035746432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13694 (or 13682 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The spelling of 106035746432 in words is "one hundred six billion, thirty-five million, seven hundred forty-six thousand, four hundred thirty-two".